Cover image for Mechanics And Control Of Large Flexible Structures.
Mechanics And Control Of Large Flexible Structures.
Title:
Mechanics And Control Of Large Flexible Structures.
Author:
Junkins, John L.
ISBN:
9781600863837
Personal Author:
Physical Description:
1 online resource (717 pages)
Series:
Progress in Astronautics and Aeronautics ; v.129

Progress in Astronautics and Aeronautics
Contents:
Cover -- Title -- Copyright -- Table of Contents -- Preface -- Part 1. Structural Modeling, Identification, and Dynamic Analysis -- Chapter 1. Recent Literature on Structural Modeling, Identification, and Analysis -- Introduction -- Mathematical Modeling of Large Space Structures -- Continuum Models -- Model Order Reduction -- Substructuring -- Component Synthesis -- Computational Techniques -- Waves vs Modes -- Localization: Local vs Global Behavior -- Nonlinearity: Joints -- Damping -- Modeling Errors and Parameter Uncertainty -- System Identification -- Model Verification and Model Updating -- Experimental Modal Analysis -- Model Verification: Model Error Localization and Model Updating -- Scale Modeling of Large Space Structures -- Damage Detection -- On-Orbit System Identification -- Concluding Remarks -- References -- Chapter 2. Orthogonal Projection Approach to Multibody Dynamics -- Introduction -- Analysis of Linear Systems -- Application to Modal Synthesis -- Computational Examples of the Modal Synthesis Algorithm -- Example 1: Synthesis Using Analytically Computed Modes -- Example 2: Modeling of a Spacecraft -- Application to Multibody Simulation -- Appendix: Modal Representation of Rigid-Body Motion -- References -- Chapter 3. Integrated Structure-Control Optimization of Space Structures -- Introduction -- Analysis and Sensitivity -- Control Design Formulations -- Truncation Error in Reduced Models -- Integrated Design Formulations -- Onoda's Formulation -- References -- Chapter 4. Multibody Dynamics Formulations via Kane's Equations -- Introduction -- Preliminary Considerations -- Multibody Systems -- Body Connection Arrays -- Transformation Matrices -- Euler Parameters -- Differentiation Algorithm -- Dynamics -- Degrees of Freedom, Coordinates, Generalized Speeds -- Kinematics -- Kinetics -- Dynamical Equations (Kane's Equations).

Constraint Equations -- Solution Methods -- Kane's Triangle -- Numerical Analyses -- Discussion -- References -- Chapter 5. Input/Output System Identification: Learning from Repeated Experiments -- Introduction -- Problem Formulation -- System Realization -- Numerical Example -- Conclusions -- References -- Chapter 6. Multibody Dynamics Formulations Using Maggi's Approach -- Introduction -- Maggi's Equations of Motion -- Related Computational Methods -- Kane's Method -- Coordinate Partitioning -- Mani's Method -- Null-Space Updating -- Singh/Huston's Method -- Advantages of the Unified Theory -- Constraint Reaction Calculation -- Explanation of Singularities -- Nonlinear Nonholonomic Constraints -- Hybrid Methods -- Null-Space and Range-Space Equations -- Null-Space Equations -- Range-Space Equations -- Relationship to Dual Principles of Optimization -- Computational Complexity Analysis -- Computational Examples -- Survey of Concurrent Orthogonal Basis Methods -- Theoretical Speedup Comparison -- Concurrent Equation Formation and Assembly -- Conclusions -- References -- Chapter 7. Dynamics and Control of Tethered Spacecraft During Deployment and Retrieval -- Introduction -- Remarks on Modeling of Tether Dynamics and Control -- Important Parameters -- Models -- Environmental Effects -- Equilibrium Orientation -- Deployment and Retrieval Procedures -- Outline of the Formulation -- System Dynamics and Control: End Bodies Treated as Point Masses (No Offset Effects) -- Deployment Dynamics -- Tension Control -- Finite End Bodies with the Point of Attachment Offset -- Tension Control -- Thruster Control -- Offset Control -- Results and Discussion -- Direction of Future Efforts -- References -- Chapter 8. Staggered Solution Procedures for Multibody Dynamics Simulation -- Introduction -- Governing Equations of Motion -- Constraint-Handling Techniques.

Coordinate Partitioning Technique -- Baumgarte's Technique -- Penalty Technique -- Staggered Stabilization Procedure -- Solution Algorithms for Generalized Coordinates -- Update of Translational and Angular Velocity -- Update of Euler Parameters and Angular Velocity -- Update of d, ω, d, and q at the (n + 2) Step -- Implementation -- Generalized-Coordinate Integrator (CINT) -- Lagrange Multiplier Solver (LINT) -- Two-Stage Explicit-Implicit Staggered Procedure -- Numerical Examples -- Plane Three-Link Manipulator -- Three-Dimensional Double Pendulum -- Open-Loop Torque for Three-Link Manipulator -- Discussion -- References -- Chapter 9. Precision Pointing of Large Antennas by Static Shape Estimation 2 1 -- Introduction -- Problem Formulation -- Compensator Design -- Static Shape Determination -- Parabolic-Fit Analysis -- Model Description and Simulation Results -- Future Work: Short-Wavelength Spatial Deflections -- Conclusions -- References -- Part 2. Control, Stability Analysis, and Optimization -- Chapter 10. Optimal Projection Approach to Robust Fixed-Structure Control Design -- Overview of the Optimal Projection Approach to Control Design -- How the Optimal Projection Approach Differs from Other Fixed-Structure Design Methods -- Brief Review of Basic Optimal Projection Theory -- Numerical Solution of the Optimal Projection Equation -- Relationships Between the Optimal Projection Approach and Model/Controller Reduction Techniques -- Numerical Comparisons -- Optimal Projection/H∞ Theory: Frequency Domain Extensions -- Optimal Projection/Guaranteed Cost Theory: Parameter-Robust Extensions -- Guaranteed Cost Synthesis -- Linear Bound -- Quadratic Bound -- Optimal Projection/Positive Real Theory -- Open Problems and Extensions -- Stabilizability -- Existence Theory -- Analysis of the Design Equations -- Quadratic Liapunov Bounds.

Positive Real Theory -- Optimal Projection/u -- Theory -- References -- Chapter 11. Low-Order Control of Linear Finite-Element Modelof Large Flexible Structures Using Second-Order Parallel Architecture -- Introduction to the Problem -- Structure Models -- Model Reduction and Controller Design -- Closed-Loop Stability and CSI Compensation -- Observer-Based Controllers for LFS -- Second-Order Architecture for LFS Observer-Based Controllers -- Synthesis of Reduced Second-Order Controllers for LFS -- CSI Compensation: Second-Order Residual Mode Filters -- Conclusions -- References -- Chapter 12. Boundary-Element Method for Shape Control of Distributed-Parameter Elastostatic Systems -- Introduction -- Kirchhoff-Timoshenko Plate Equation and Shape Control -- Boundary Integral Equations and Multilayer Potential Methods for the Plate Equation -- Formulation of the Shape Control Problem as a Linear-Quadratic Distributed-Parameter Boundary Control Problem -- Solid Mechanics Equations and Shape Control -- Boundary Integral Equations for Linear Elastostatics -- Shape Control of a Solid by the Application of Traction Force on the Boundary Surface -- Concluding Remarks -- References -- Chapter 13. Stability of Time-Varying Structural Dynamic Systems -- Introduction -- Stability -- Equations of Motion -- Nonlinearities and Stability in the First Approximation -- Periodic Systems -- Floquet Theory -- Reducibility of Periodic Systems -- Constant Coefficient Systems Perturbed by Small Periodic Terms -- Almost Constant Coefficient Systems -- General Second-Order Linear Systems with Variable Coefficients -- Conclusion -- References -- Chapter 14. Robust Eigensystem Assignment for Second-Order Dynamic Systems -- Introduction -- Robust Eigensystem Assignment Using Full-State Feedback -- Eigenvalue Assignment with Conventional Full-State Feedback.

Eigenvector Assignment for Robustness -- Eigenvalue Assignment with Acceleration Feedback -- Eigensystem Assignment Using Output Feedback -- Numerical Example -- Concluding Remarks -- References -- Chapter 15. Minimum Sensitivity Design Method for Output Feedback Controllers -- Introduction -- Symmetric Output Feedback Controller Design -- Homotopic Nonlinear Programming -- Numerical Examples -- Concluding Remarks -- References -- Chapter 16. Component Model Reduction by Component Cost Analysis -- Introduction -- Component Cost Analysis -- Modal Cost Approximation to Including Nonworking Constraint Forces -- The p, q-Markov COVER -- Numerical Example -- Conclusions -- References -- Chapter 17. Controller Design by Eigenspace Assignment -- Introduction -- Review of Eigenvector Decomposition and Control Assignment -- Eigenplacement and Gain Optimization -- Control Optimization for Pole Placement -- Control Optimization with Eigenstructure Assignment -- Discrete-Time Control Models -- Illustrative Example -- Experimental Implementation -- Eigenvector Shaping for Forced Vibration Control -- Problem Statement -- Feedback Gain Matrix Computation -- Implementation Summary -- Numerical Example -- Concluding Remarks -- References -- Part 3. Controls/Structure Interactions: Analysis and Experiments -- Chapter 18. Recent Literature on Experimental Structural Dynamics and Control Research -- Introduction -- Structural Dynamics -- Passive Control -- Active Control -- Experiments Based on Grounded Actuators -- Experiments Based on Structure-Borne Actuators -- References -- Chapter 19. Large-Angle Maneuver Experiments in Ground-Based Laboratories -- Introduction -- Survey of Ground Experiments -- AFAL/CSDL Flexible Satellite Testbed -- NASA/ LaRC Spacecraft Control Laboratory Experiment -- NASA/ LaRC Three-Body Rapid Maneuvering Experiment.

OSU Flexible Structure Control Laboratory.
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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